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S. Ben-David, Childs, A. M., Gilyen, A., Kretschmer, W., Podder, S., and Wang, D., Symmetries, graph properties, and quantum speedups, To appear in Proceedings of the 61st Annual Symposium on Foundations of Computer Science (FOCS 2020), 2020.
A. M. Childs and Goldstone, J., Spatial search by quantum walk, Physical Review A, vol. 70, no. 2, 2004.
A. M. Childs and Ge, Y., Spatial search by continuous-time quantum walks on crystal lattices, Physical Review A, vol. 89, no. 5, 2014.
A. M. Childs and Goldstone, J., Spatial search and the Dirac equation, Physical Review A, vol. 70, no. 4, 2004.
A. M. Childs and Kothari, R., Simulating sparse Hamiltonians with star decompositions, 2010.
D. W. Berry, Childs, A. M., Cleve, R., Kothari, R., and Somma, R. D., Simulating Hamiltonian dynamics with a truncated Taylor series, Physical Review Letters, vol. 114, no. 9, p. 090502, 2015.
A. Y. Guo, Tran, M. C., Childs, A. M., Gorshkov, A. V., and Gong, Z. - X., Signaling and Scrambling with Strongly Long-Range Interactions, Physical Review A, vol. 102, no. 010401(R), 2020.
A. M. Childs, Secure assisted quantum computation, 2001.